Decompositions of direct products of groups

• Datum: 1997
• Hauptverfasser: Protasov, I. V., Протасов, І. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5136
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose a new method for the decomposition of direct products of groups into U subsets. By using this method, we prove the following generalization of the Comfort-van Mill theorem: An arbitrary nondiscrete topological Abelian group with a finite number of second-order elements can be decomposed i...